Why quintuple main-battery turrets multiply problems

Would navies consider quintuple main-gun turrets?

They might consider them, but the interactions among guns sharing a turret make the arrangement increasingly difficult.

Adding guns also adds interactions among the guns sharing a turret. A rough illustration counts one set of problems for a single gun, three for twins, and six for triples. Quadruple, quintuple, and sextuple arrangements increase that burden further. Firing one gun can disrupt its neighbors, so a mounting with many barrels must manage more than the faults of each individual weapon.